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Whether a qualified First Amendment right of access to criminal proceedings applied to preliminary hearings as conducted in California

Whether the New York Times and the Washington Post could be enjoined from publishing excerpts from a classified Defense Department study of U.S. involvement in the Indochina War. More broadly, whether the First Amendment protects the publication of "classified information."

Whether the citation of a political candidate for contempt of court after he criticized a judge's grand jury instructions in a pending case violated his freedom of speech under the First Amendment.

Whether a municipal ban on the use of any sound system emitting "loud and raucous" noises on public streets violates the First and Fourteenth Amendments.

Whether a local sound amplification law that required a police permit violated the First and Fourteenth Amendments. Contrast Kovacs v. Cooper (1949) upholding a similar law.

Whether a citation for contempt of court could, consistent with the First Amendment, be upheld against a Corpus Christi newspaper which published critical news and commentary about a pending court case, even if that information was not entirely true.

Whether a citation for contempt of court against an editor of the Miami Herald for publishing two editorials critical of the court and its judges violated the First Amendment's free press guarantee.

Whether a state, consistently with the First and Fourteenth Amendments, can impose criminal punishment on a person who undertakes to distribute religious literature on the premises of a company-owned town contrary to the wishes of the town's management.

Whether an ordinance requiring agent selling books to pay license fee of $1 per day or $15 per year is an improper restriction on "freedom of religion" as applied to resident preacher who earned his living by sale of religious books.

Whether a Pennsylvania ordinance imposing a tax on sale of religious materials violates the Free Exercise Clause of the First Amendment.

Whether an ordinance requiring reasonable license fee of transient distributors of books or pamphlets for sale on streets, taking no account of whether material is religious or not, is unconstitutional as denying "freedom of speech","press," or "religion".

Whether the prosecution of a newspaper publisher for contempt of court in publishing commentary attempting to influence public opinion and the decision of the court violated the First Amendment's free press guarantee.